Answer: Area of sector = 11.8 square meters
Explanation:
The formula for determining the area of a sector is expressed as
Area of sector = θ/360 × πr²
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 3 m
θ = 150 degrees
Therefore,
Area of sector = 150/360 × 3.14 × 3²
Area of sector = 11.8 square meters rounded up to the nearest tenth.